Map Scales and Proportions

The video tutorial covers solving proportion problems through three examples: calculating expected successful free throws for a basketball player, determining the actual distance between two cities using a map scale, and finding the total fat content in a container of ice cream. Each example involves setting up ratios, cross-multiplying, and solving for the unknown variable, with considerations for rounding where necessary.

A basketball player makes 17 out of 20 free throws. If he attempts 153 throws, how many successful throws can be expected?

• 130

• 128

• 127

• 129

When solving for the expected successful free throws, what is the result before rounding?

• 126.5

• 128.5

• 127.5

• 129.5

On a map, 3/4 of an inch represents 40 miles. If two cities are 4 inches apart on the map, what is the actual distance between them?

• 213.3 miles

• 230 miles

• 200 miles

• 220 miles

What is the first step in solving the map scale problem?

• Divide the ratios

• Subtract the ratios

• Add the ratios

• Cross-multiply the ratios

What is the reciprocal of 3/4 used in solving the map scale problem?

• 4/3

• 3/2

• 2/3

• 3/4

An ice cream label states that a 6-ounce serving has 8 grams of fat. How much fat is in a 20-ounce container?

• 28 grams

• 26.6 grams

• 24 grams

• 30 grams

What is the first step in solving the ice cream fat content problem?

• Subtract the grams

• Set up a proportion

• Add the ounces

• Multiply the ounces

How do you solve for x in the ice cream fat content problem?

• Divide and subtract

• Multiply and add

• Add and subtract

• Cross-multiply and divide

What is the result of 160 divided by 6 in the ice cream problem?

• 26.6

• 27.6

• 28.6

• 29.6

What is the final step in solving the ice cream fat content problem?

• Add the result

• Round the result

• Multiply the result

• Subtract the result